SOLUTION: Anthony, Bill and Chris are all given the same amount of money to spend at the fair. Anthony spends two-thirds of his money, Bill spends three-quarters of his, and Chris spends fo

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Anthony, Bill and Chris are all given the same amount of money to spend at the fair. Anthony spends two-thirds of his money, Bill spends three-quarters of his, and Chris spends fo      Log On


   

Question 180048: Anthony, Bill and Chris are all given the same amount of money to spend at the fair. Anthony spends two-thirds of his money, Bill spends three-quarters of his, and Chris spends four more dollars than Bill. At the end of the fair, they have a combined total of 22 dollars left. How much does Chris have left?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x= amount Anthony, Bill, and Chris start with
Anthony spends two-thirds of his money, so he has
x%2F3 left
Bill spends three-quarters of his, so he has
x%2F4 left
Chris spends four more dollars than Bill. so Chris spends
%283%2F4%29%2Ax+%2B+4, and since he started with x, he has
x+-+%28%283%2F4%29%2Ax+%2B+4%29
x%2F4+-+4
They have a total of 22 dollars left
x%2F3+%2B+x%2F4+%2B+x%2F4+-+4+=+22
%2810%2F12%29%2Ax+=+26
%285%2F6%29%2Ax+=+26
5x+=+156
x+=+31.2
Chris has
x%2F4+-+4+=+31.2%2F4+-+4
31.2%2F4+-+4+=+7.8+-+4
7.8+-+4+=+3.8
Chris has $3.80 left
check:
3x+=+3%2A31.2
3x+=+93.6
Anthony spends two-thirds of his money, or
%282%2F3%29%2Ax+=+%282%2F3%29%2A31.2
%282%2F3%29%2Ax+=+20.8
Bill spends three-quarters of his, or
%283%2F4%29%2Ax+=+23.4
Chris spends four more dollars than Bill.
23.4+%2B+4+=+27.4
20.8+%2B+23.4+%2B+27.4+=+71.6
93.6+-+71.6+=+22
They have a combined total of 22 dollars left.
OK